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13414413120301 is a prime number
BaseRepresentation
bin1100001100110100100101…
…0101000011001100101101
31202111101221111220021100201
43003031021111003030231
53224240204224322201
644310255111553501
72553105443116324
oct303151125031455
952441844807321
1013414413120301
114302025547766
12160797798b891
13763c8738babb
143453924bd0bb
15183e165b9801
hexc334954332d

13414413120301 has 2 divisors, whose sum is σ = 13414413120302. Its totient is φ = 13414413120300.

The previous prime is 13414413120299. The next prime is 13414413120313. The reversal of 13414413120301 is 10302131441431.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11867439357225 + 1546973763076 = 3444915^2 + 1243774^2 .

It is an emirp because it is prime and its reverse (10302131441431) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13414413120301 - 21 = 13414413120299 is a prime.

It is a super-2 number, since 2×134144131203012 (a number of 27 digits) contains 22 as substring.

Together with 13414413120299, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13414413120301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13414413120341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6707206560150 + 6707206560151.

It is an arithmetic number, because the mean of its divisors is an integer number (6707206560151).

Almost surely, 213414413120301 is an apocalyptic number.

It is an amenable number.

13414413120301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13414413120301 is an equidigital number, since it uses as much as digits as its factorization.

13414413120301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13414413120301 its reverse (10302131441431), we get a palindrome (23716544561732).

The spelling of 13414413120301 in words is "thirteen trillion, four hundred fourteen billion, four hundred thirteen million, one hundred twenty thousand, three hundred one".